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Atlas › Integer Profiles › Node 9,506,796

9,506,796

22 × 3 × 13 × 149 × 409
Abundant Even Composite

9,506,796 factors as 2^2 × 3 × 13 × 149 × 409. Its 48 positive divisors give a proper-divisor sum of 14,601,204, so this integer is abundant. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 149 × 409
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 24,108,000
Proper Divisor Sum 14,601,204
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #9506773 ← → #9506813

Radix Representation

Decimal 9506796
Binary 100100010000111111101100 (24 bits)
Octal 0o44207754
Hexadecimal 0x910FEC

Divisor Catalog (48)

1 2 3 4 6 12 13 26 39 52 78 149 156 298 409 447 596 818 894 1,227 1,636 1,788 1,937 2,454 3,874 4,908 5,317 5,811 7,748 10,634 11,622 15,951 21,268 23,244 31,902 60,941 63,804 121,882 182,823 243,764 365,646 731,292 792,233 1,584,466 2,376,699 3,168,932 4,753,398 9,506,796

Collatz Trajectory (176 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

9,506,796 4,753,398 2,376,699 7,130,098 3,565,049 10,695,148 5,347,574 2,673,787 8,021,362 4,010,681 12,032,044 6,016,022 3,008,011 9,024,034 4,512,017 13,536,052 6,768,026 3,384,013 10,152,040 5,076,020 2,538,010 1,269,005 3,807,016 1,903,508 951,754 475,877 1,427,632 713,816 356,908 178,454 89,227 267,682 133,841 401,524 200,762 100,381 301,144 150,572 75,286 37,643 112,930 56,465 169,396 84,698 42,349 127,048 63,524 31,762 15,881 47,644 23,822 11,911 35,734 17,867 53,602 26,801 80,404 40,202 20,101 60,304

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